Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/10, 518/7948 quickly i.e. 69153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/10, 518/7948 is 69153.
LCM(267/10, 518/7948) = 69153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/10,518/7948
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 267,518
Least Common Multiple of Numerators i.e. LCM of 267,518 is 138306.
GCF of Denominators means GCF of 10,7948 as per the given fractions.
GCF of 10,7948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,518
Given numbers has no common factors except 1. So, there LCM is their product i.e 138306
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 267,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,518) x common factors =1 x 1 = 1
LCM(267,518) = ( 267 × 518 ) / 1
LCM(267,518) = 138306 / 1
LCM(267,518) = 138306
Lets's calculate GCF of 10,7948
2 | 10, 7948 |
5, 3974 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138306/2
Therefore the LCM of Fractions 267/10,518/7948 is 69153
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 7948
List of positive integer factors of 7948 that divides 7948 without a remainder.
1,2,4,1987,3974,7948
Greatest Common Factor
We found the factors 10,7948 . The biggest common factor number is the GCF number.
So the greatest common factor 10,7948 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 267/10, 518/7948?
Answer: LCM of Numerators as per given numbers 267/10, 518/7948 is
LCM of Numerators i.e. for 267,518 is 138306
GCF of denominators i.e. for 10,7948 is 2.
Thus, LCM of Fractions is 69153.Finally, LCM of Fractions for 267/10, 518/7948 is 69153.